13121132303301 has 32 divisors (see below), whose sum is σ = 19977902235648. Its totient is φ = 7582458248640.

The previous prime is 13121132303297. The next prime is 13121132303311. The reversal of 13121132303301 is 10330323112131.

13121132303301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13121132303301 - 2² = 13121132303297 is a prime.

It is a super-2 number, since 2×13121132303301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121132303311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27026581 + ... + 27507786.

It is an arithmetic number, because the mean of its divisors is an integer number (624309444864).

Almost surely, 2^{13121132303301} is an apocalyptic number.

13121132303301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13121132303301 is a deficient number, since it is larger than the sum of its proper divisors (6856769932347).

13121132303301 is a wasteful number, since it uses less digits than its factorization.

13121132303301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54534721.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13121132303301 its reverse (10330323112131), we get a palindrome (23451455415432).

The spelling of 13121132303301 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-two million, three hundred three thousand, three hundred one".